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1 year ago

Triangles T1 and T2 are congruent.

Mathematics

1 answer:

Inessa [10]1 year ago

3 0

The single transformation that can be used to map T₁ onto T₂ is Rotate T₁ 180° about the origin.

<h3>What transformation would map T₁ onto T₂?</h3>

When a shape is rotated 180° about the origin, it means that the points go from (x, y) to (-x, -y).

The points on T₁ if rotated 180° about the origin would go from:
(-2, -2) to (2, 2)

(5, -6) to (-5, 6)

(5,0) to (-5, 0)

These are the points of T₂ so the way to map T₁ on T₂ is to use a 180° about the origin.

Find out more on rotating about the origin at brainly.com/question/16200542

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Can anyone help me with this problem PLEASE??????

Vesna [10]

A) Volume = l * w* h --> V = 7 * 5 * 4 --> V = 140 units³

B) 140 units³: Prism B has the same length, width, and height as A, just rotated.

C) As long as the tree numbers' product is 140 units³, it works.

Prism C: 140 * 1 * 1

Prism D: 14 * 2 * 5

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3 years ago

Let f(x)=x2+14x+48. What are the zeros of the function? Enter your answers in the boxes.

mina [271]

Remember that to find the zeroes of a quadratic expression of the form $a x^{2} +bx+c$ we could either factor it or use the quadratic formula. When $a=1$ , like in our case, is often way easier and faster factor the expression than using the quadratic formula. The only thing we need to do to factor the expression is find tow number whose product is 48 and its sum is 14; those numbers are 6 and 8. $(6)(8)=48$ and $6+8=14$ . Now we can factor our quadratic like follows:
$x^{2} +14x+48=(x+6)(x+8)$
Since we are trying to find the zeroes of the function, we are going to set each one of our factored binomial equal to zero and solve for x:
$x+6=0$
$x=-6$
and
$x+8=0$
$x=-8$

We can conclude that the zeroes of the function $f(x)= x^{2} +14x+48$ are $x=-6$ and $x=-8$ .

6 0

3 years ago

Express each of these system specifications using predicates, quantifiers, and logical connectives, if necessary.

Alja [10]

Step-by-step explanation:

1. we have to write the system specifications as:

A(x,y) give us the meaning that the consule x can be accessed when y is in a faulty condition

∀y∃A(x,y)

2. B(x,y) shows that users email has sent a message, y. Which is in the archive. C(x) shows the email address of user x is retrievable

∀x∃y[B(x,y)→c(x)]

3. D(x,y) shows that x can detect breach y'' and we have E(z) that tells us there is a compromise of z

∀y∃xD(x,y)↔ ∃zE(z)

4. F(x,y,z)

Y and z are distinct point ends which x connects

We have,

∀y∀z∃x∃a[x ≠a →F(x,y,z)^F(a,y,z)

5. G(x,y)

X knowst the password of y' and H(x) means that we have x to be a system administrator

∀x[H(x)→∀yG(x,y)] ∃x[H(x)^∀yG(x,y)]

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3 years ago

A teacher has 4 packs of pencils to share equally between 12 students. What fraction of a pack of pencils will each student rece

mariarad [96]

Answer:

1/3

Step-by-step explanation:

4 divided by 12 is 1/3

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3 years ago

Help plz

olga55 [171]

B. 47 degrees

Explanation:
They already cut 43 degrees and they want to cut until a right angle is form which is 90 degrees. To find how much more they have to cut, do 90-43 which gives you 47.

4 0

3 years ago